{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#  Numenta Platform for Intelligent Computing (NuPIC)\n",
    "#  Copyright (C) 2020, Numenta, Inc.  Unless you have an agreement\n",
    "#  with Numenta, Inc., for a separate license for this software code, the\n",
    "#  following terms and conditions apply:\n",
    "\n",
    "#  This program is free software: you can redistribute it and/or modify\n",
    "#  it under the terms of the GNU Affero Public License version 3 as\n",
    "#  published by the Free Software Foundation.\n",
    "\n",
    "#  This program is distributed in the hope that it will be useful,\n",
    "#  but WITHOUT ANY WARRANTY; without even the implied warranty of\n",
    "#  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.\n",
    "#  See the GNU Affero Public License for more details.\n",
    "\n",
    "#  You should have received a copy of the GNU Affero Public License\n",
    "#  along with this program.  If not, see http://www.gnu.org/licenses.\n",
    "\n",
    "#  http://numenta.org/licenses/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from correlation_experiment import SparseCorrExperiment, plot_duty_cycles, plot_entropies\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Activity correlation metrics for networks trained on GSC\n",
    "\n",
    "This notebook shows a number of examples illustrating how correlated the activations of sparse or dense neural networks are when different GSC class inputs are presented. Namely, this notebook will show the Pearson correlations and normalized dot products of the activations of specific layers. The experiments run in this notebook are:\n",
    "\n",
    "- Compare sparse CNN with dense CNN activations\n",
    "- Compare ReLU and k-winner activations with or without sparse weights\n",
    "- Compare different layer sizes\n",
    "\n",
    "The purpose of these experiments is to get a handle for how decorrelated sparse network activations are, and to thus inform a plan of attack for exploiting sparsity for continuous learning.\n",
    "\n",
    "Each experiment will produce 4 plots: 2 for Pearson correlation and 2 for the dot product. Each metric is associated with an \"off-diag\" plot which shows the mean value of the metric for between-class comparisons, and \"diag\" which shows the value for within-class comparisons.\n",
    "\n",
    "Each experiment can be modified in several ways by manipulating the following parameters:\n",
    "\n",
    "- **sequential:** Boolean. When True, it will train the network 2 random classes at a time. Defaults to False\n",
    "- **freeze_linear:** Boolean. When True, it will freeze the gradients corresponding to the classes not being trained on in the output layer. Defaults to False.\n",
    "- **shuffled:** Boolean. When True, will also plot the Pearson correlation and dot product of a shuffled version of the network activations. Defaults to False.\n",
    "\n",
    "Note that it takes a good amount of time to calculate the Pearson and dot product matrices for large networks. Setting *shuffled=True* will almost double the time it takes to show the results.\n",
    "\n",
    "The parameters used for initializing and training the models can be found in the \"experiments.cfg\" file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "config_file = \"experiments.cfg\"\n",
    "experiment = SparseCorrExperiment(config_file=config_file)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Experiment 1: Comparse metrics for dense and sparse CNN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Creating optimizer with learning rate= 0.01\n",
      "Network trained in 4.183 s\n",
      "Creating optimizer with learning rate= 0.01\n",
      "Network trained in 11.223 s\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mod_comp_corrs = experiment.model_comparison()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Experiment 2: Compare ReLU and k-winner activations for dense and sparse weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Creating optimizer with learning rate= 0.01\n",
      "Network trained in 10.578 s\n",
      "Creating optimizer with learning rate= 0.01\n",
      "Network trained in 7.212 s\n",
      "Creating optimizer with learning rate= 0.01\n",
      "Network trained in 11.067 s\n",
      "Creating optimizer with learning rate= 0.01\n",
      "Network trained in 7.938 s\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "act_fun_corrs = experiment.act_fn_comparison()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Experiment 3: Compare the metrics for different layer sizes\n",
    "\n",
    "- You can set the desired layer sizes with the parameter layer_sizes\n",
    "- You can also add a comparison for with a dense CNN with each layer size by setting compare_models=True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Creating optimizer with learning rate= 0.01\n",
      "64 layer size network trained in 11.061 s\n",
      "Creating optimizer with learning rate= 0.01\n",
      "128 layer size network trained in 17.815 s\n",
      "Creating optimizer with learning rate= 0.01\n",
      "256 layer size network trained in 36.58 s\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "layer_size_corrs = experiment.layer_size_comparison(layer_sizes=[64, 128, 256], compare_models=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get metrics on shuffled activations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Creating optimizer with learning rate= 0.01\n",
      "Network trained in 4.156 s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ec2-user/nta/nupic.research/nupic/research/frameworks/continuous_learning/correlation_metrics.py:110: RuntimeWarning: invalid value encountered in log10\n",
      "  \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Creating optimizer with learning rate= 0.01\n",
      "Network trained in 11.231 s\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mod_comp_corrs, sh_mod_comp_corrs = experiment.model_comparison(shuffled=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get metrics on sequentially trained network:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Creating optimizer with learning rate= 0.01\n",
      "training on class [4 5]\n",
      "training on class [3 7]\n",
      "training on class [8 9]\n",
      "training on class [2 1]\n",
      "training on class [ 6 10]\n",
      "Network trained in 114.74 s\n",
      "Creating optimizer with learning rate= 0.01\n",
      "training on class [9 6]\n",
      "training on class [1 3]\n",
      "training on class [ 2 10]\n",
      "training on class [8 4]\n",
      "training on class [7 5]\n"
     ]
    }
   ],
   "source": [
    "mod_comp_corrs = experiment.model_comparison(sequential=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot duty cycles and entropy per layer for sequentially trained networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Duty cycles\n",
    "plot_duty_cycles(experiment)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Entropies\n",
    "plot_entropies(experiment)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
